Seminar in EDP and Applied Mathematics
May 29, 2023 – 14h (Brazil)
Streaming: Youtube Channel | SEMINARIO DE EDP E MATEMATICA APLICADA
Event
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About Seminars
Our Online Seminar is one of the most important events in Brazil, it has been held since August 2020, every Wednesday at 2 pm, Brasília time, with a frequency of 14 days. Two 40-minute lectures are presented in each session. Our speakers are world-renowned mathematicians from Europe, the United States and South America.
Featured Talks & Speakers
![Giovany](http://edpemaplicada.uff.br/wp-content/uploads/sites/308/2024/05/Giovany.jpg)
Giovany Figueiredo
Departamento de Matemática Universidade de Brasília – UNB,Brazil
14:00h – 14:40h
A result of multiplicity of nontrivial solutions to an elliptic Kirchhoff-Boussinesq equation type in $\mathbb{R}^{N}$
In this work, using Ljusternik-Schnirelman category theory, we study the existence and multiplicity of nontrivial solutions for the following class of elliptic Kirchhoff-Boussinesq type problems given by
$$\varepsilon^4 \Delta^2 u \pm \varepsilon^p \Delta_p u + V(x)u=f(u) + \beta|u|^{2_{**}-2}u ~~\text{in}~~\mathbb{R}^N,\\ u \in H^2(\mathbb{R}^N),$$
where $\varepsilon>0$, $2<p<2^{*}=\frac{2N}{N-2}$, $2_{**}=\frac{2N}{N-4}$ and $N\geq5$, $V:\mathbb{R}^N \to\mathbb{R}$ is a continuous function and $f:\mathbb{R} \to \mathbb{R}$ is a function of $C^{1}$ class. We consider the subcritical case, i.e, $\beta=0$ and critical case, i.e, $\beta=1$.
![Marcone](http://edpemaplicada.uff.br/wp-content/uploads/sites/308/2024/05/Marcone-scaled.jpeg)
Marcone Pereira
Mathematics Department IME-USP,Brazil
14:50h – 15:30h
Roughness-induced effects on a reaction-diffusion equation defined in a thin domain
In this talk we discuss a reaction-diffusion problem in a thin plane region, endowed with a Robin-type boundary condition, which describes reactions catalyzed at the boundary. Motivated by microfluidic applications we allow, in principle, resonant rough behavior in which the amplitude and period of the roughness at the boundary have the same scale as the domain thickness.
About Organization
Juan Limaco -UFF-Coordenador
Mauro Rincon – UFRJ – Brazil
Anna Doubova-U.Sevilla-Spain
Luz de Teresa-UNAM Mexico
Diego Souza – U Sevilla -España
Felipe Chaves-UFPB-Brazil
Roberto Capistrano – UFPE Brazil
Sandra Malta – LNCC – Brazil
Marcelo Cavalcanti – UEM – Brazil;
Rui Almeida – UBI – Portugal
Roxana Lopez – UNMSM – Peru;
Mauricio Sepulveda – UdeC -Chile;
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